Lesson: Pascal’s Triangle and the Binomial Theorem Glencoe • Algebra 2 • enVision • Algebra 2 • Common Core • Prentice Hall • Algebra 2 • Common Core • Glencoe • Algebra 2 • Common Core • Glencoe • Precalculus • Common Core

By calculating the next row of Pascal’s triangle, find the coefficients of the expansion of .

Daniel now wants to calculate the coefficients for each of the terms of the expansion . By substituting into the expression above, or otherwise, calculate all of the coefficients of the expansion.

Calculate the numbers in the row of Pascal’s triangle and, hence, write out the coefficients of the expansion .

Now, by considering the different powers of and and using Pascal’s triangle, work out the coefficients of the expansion .